## College Algebra (11th Edition)

$(f-g)(3)=0$
$\bf{\text{Solution Outline:}}$ To find the value of the given expression, $(f-g)(3) ,$ use the definition of the appropriate function operation. Then substitute the values in the given table. $\bf{\text{Solution Details:}}$ Using $(f-g)(x)=f(x)-g(x),$ then \begin{array}{l}\require{cancel} (f-g)(3)=f(3)-g(3) \text{ (Equation *)} .\end{array} Based on the given table, when $x= 3 ,$ the value of $f(x)$ is $9 .$ Hence, $f(3)=9 .$ Based on the given table, when $x= 3 ,$ the value of $g(x)$ is $9 .$ Hence, $g(3)=9 .$ By substitution, Equation * becomes \begin{array}{l}\require{cancel} (f-g)(3)=f(3)-g(3) \\\\ (f-g)(3)=9-9 \\\\ (f-g)(3)=0 .\end{array}